Thank you for your comments. I am on a mathematical modeling task, which is intended to be used in a real world problem.
Noway2, thank you for the link to a PDF. I am not good in electricity but that material looks interesting, which I will read it carefully.
I do not have background in system controllers. As part of a project, I am forced to learn the very basics how a PI or PID controller and transfer function derivation are made. As example to my understanding, I would like to control the volumetric flow rate at the outlet of a tank. I have the...